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Symplectic quantum cells and Husimi-Wigner functions - MaRDI portal

Symplectic quantum cells and Husimi-Wigner functions (Q2387389)

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Symplectic quantum cells and Husimi-Wigner functions
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    Symplectic quantum cells and Husimi-Wigner functions (English)
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    2 September 2005
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    A definition for quantum cells, which is invariant under symplectic transformations, is proposed. This definition is applied in the study of positivity of Wigner and Husimi functions; in this way known results are improved. A more general notion of quantum cell adapted to study of integrable Hamiltonian systems is introduced, by the same author [in: Phase space quantization and the uncertainty principle, Phys. Lett. A, 317, No. 5--6, 365--369 (2003; Zbl 1058.81045)].
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    symplectic capacity
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    quantum cell
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    Wigner function
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    Husimi function
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